Neighborhoods of certain p-valent analytic functions with complex order

In this paper, the authors prove several coefficient bounds, distortion inequalities of the class Sgn(p,λ,b,β) of p-valent analytic functions of complex order. By making use of the familiar concept of neighborhoods of p-valent analytic functions, they obtained several inclusion relations associated with the Np(n,δ)Np(n,δ)-neighborhood of this class and its certain derivatives, which is defined by means of a certain non-homogeneous Cauchy–Euler differential equations.